Very Important Repeated Quantitative Aptitude Questions with Answers

Below are some important aptitude Questions and their Answers for IT and Non-IT Student to empower their career.

1. If x and y are the two digits f the number 653xy such that this number is divisible by 80, then x+y is equal to:

(i) 2

(ii) 3

(iii) 4

(iv) 6

Solution:

Since 653xy is divisible by 2 as well as by 5, so y = 0

Now 653x0 is divisible by 8 so 3x0 is also divisible by 8.

By hit and trial x=2 and x+y = 2

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2. The smallest number which when diminished by 3 is divisible by 21,28,36 and 45 is...

(i) 869

(ii) 859

(iii) 4320

(iv) 427

Solution:

The required number = l.c.m. of (21,28,36 ,45)+3=1263

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3. If 1.5x=0.04y then the value of (y-x)/(y+x) is

(i) 730/77

(ii) 73/77

(iii) 7.3/77

(iv) None

Solution: x/y = 0.04/1.5 = 2/75

So (y-x)/(y+x) = (1 - x/y)/(1 + x/y) = (1 - 2/75)/ (1 + 2/75) = 73/77

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4. The average age of a class is 15.8 years. The average age of boys in the class is 16.4 years while that of girls is 15.4 years. What is the ratio of boys to girls in the class?

(i) 1:2

(ii) 3:4

(iii) 3:5

(iv) None of these

Solution:

Let the ratio be k:1.

Then k*16.4+1*15.4 + (k+1)*15.8 (16.4-15.8)k = 15.8 - 15.4 k=0.4/0.6 = 2/3 so required ratio = 2:3

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5. If one-seventh of a number exceeds its eleventh part by 100 then the number is…

(i) 770

(ii) 1100

(iii) 1825

(iv) 1925

Solution:

Let the number be x. Then X/7 - x/11 =100 11x-7x = 7700 x=1925.

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6. The ratio of Rita's age to her mother's age is 3:8. The difference of their ages is 35 years. The ratio of their ages after 4 years will be:

(i) 7:12

(ii) 5:12

(iii) 38:43

(iv) 42:47

Solution:

Let their ages be 3x and 8x

8x - 3x =35

x =7

Their present ages are 21 and 56 years.

Ratio of their ages after 4 years are 25:6 = 5:12

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7. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?

(i) 1:1

(ii) 2:3

(iii) 1:2

(iv) 3:2

Solution:

Let 1gm of gold be mixed with x gm of copper to give (1+x)gm of the alloy.

1G=19W, 1C = 9W and alloy = 15W 1gm gold + xgm Copper = (1+x)gm alloy 19W+9Wx = (1+x)*15W x = 4W/6W = 2/3

So ratio of gold and copper is 1:2/3 or 3:2

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8. A tap can fill the tank in 15 minutes and another can empty it in 8 minutes. If the tank is already half full and both the taps are opened together, the tank will be:

(i) filled in 12 min

(ii) emptied in 12 min

(iii) filled in 8 min

(iv) emptied in 8 min

Solution:

Rate of waste pipe being more the tank will be emptied when both taps are opened.

Net emptying workdone in 1min =(1/8 -1/16)= 1/16

So full tank will be emptied in 16 min

Half tank will be emptied in 8 minutes.

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9. A man can row 5 kmph in still water. If the river is running at 1kmph, it takes him 75 minutes to row to a place and back. How far is the place?

(i) 3km

(ii) 2.5 km

(iii) 4 km

(iv) 5 km

Solution:

Speed downstream = (5+1)km/hr = 6 km/hr Speed upstream = (5-1)km/hr = 4 km/hr Let the required distance be x km x/6 + x/4 = 75/60 2x+3x = 15 x = 3km

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10. 729 ml of a mixture contains milk and water in ratio 7:2. How much of the water is to be added to get a new mixture containing half milk and half water?

(i) 79 ml

(ii) 81 ml

(iii) 72 ml

(iv) 91 ml

Solution:

Milk = (729 * (7/9))=567ml

Water = (729-567)= 162ml

Let water to be added be x ml 567/(162+x) = 7/3 1701 = 1134 + 7x x = 81ml

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11. One monkey climbs a poll at the rate of 6mts/min and fell down 3mts in the alternately. Length of the poll is 60 mts , how much time it will take to reach the top?
a. 31 b.33 c.37 d.40 (ans: 37)

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12. X men work for X days to produce X products, then Y men can produce Y products in - - - - days. ]

(ans: y^3/x^2)

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13. sqrt(12 + sqrt(12) + ((sqrt(12) +......................infinity) = ?

(ans: 4).

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14. An amount doubles itself in 3 years. When This amount can become 8 times of itself?

Answer is 9 Yrs.

Suppose Amount Was Rs 100.00 In 1st Year

1 To 3 Yrs - 200
4 To 6 Yrs - 400
7 To 9 Yes - 800

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15. If A is travelling at 72 km per hour on a highway. B is travelling at a speed of 25 meters per second on a highway. What is the difference in their speeds in m/sec.

Ans: 5 M/Sec.

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16. If 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?

By Direct approach :
more men,more hectares
moredays,more hectares
so,
8 / 36 : 24 / 30 = 80 / x

x = (36 x 30 x 80) / (8 x 24)
450

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17. Which of the following set of numbers has the highest Standard deviation?

1,0,1,0,1,0
-1,-1,-1,-1, -1,-1
1,1,1,1,1,1
1,1,0,-1,0,- 1

Formula

Mean = (x1+x2+...+x6)/6
SD= SrRoot( 1/6 * [ x1- Mean]^2+[x2- Mean]^2+...[x6-Mean]^2 )

Note : The Number : 6 denotes no. of terms in a particular option and ^2 - denotes Square

Which of the following set of numbers has the highest Standard deviation?

a) 1,0,1,0,1,0

b)-1,-1,-1,-1,-1,-1

c) 1,1,1,1,1,1

d) 1,1,0,-1,0,-1

__________________________________________________________________________
Formula

Mean = (x1+x2+...+x6)/6
SD= SrRoot( 1/6 * [ x1- Mean]^2+[x2- Mean]^2+...[x6-Mean]^2 )

Note : The Number : 6 denotes no. of terms in a particular option and ^2 - denotes Square
________________________________________________________________________

Take Option (a)

Mean(M) = (1+0+1+0+1+0)/6 = 3/6 = 1/2

SD = Sqroot( 1/6 * [ (1 - 1/2)^2 + (0-1/2)^2+ (1 -1/2)^2 + (0-1/2)^2 + (1 - 1/2)^2 + (0-1/2)^2 ] )
        = Sqroot( 1/6 * [ 1/4 + 1/4 +1/4 + 1/4 + 1/4 +1/4] )
        = Sqroot( 1/6 * 6 * 1/4 )
        = Sqroot (1/4) = 1/2 = 0.5


For option (b)

Mean = -6/6= -1

SD = Sqroot( 1/6 * [ (-1 - (-1))^2 + (-1 - (-1))^2 + (-1 - (-1))^2 + (-1 - (-1))^2 + (-1 - (-1))^2 + (-1 - (-1))^2 ] )
  = Sqroot ( 1/6 * [ 0 + 0 +0 + 0+ 0 + 0 ] ) Â
  = 0


For option (c)

Mean = 6/6 = 1

SD = Sqroot (1/6 * [ (1-1)^2 +(1-1)^2 +(1-1)^2 + (1-1)^2 + (1-1)^2 + (1-1)^2 ] )
  = Sqroot (1/6 * 0 )
  = 0

For option (d)

Mean = 0/6 = 0

SD = Sqroot ( 1/6 * ( [1-0]^2 + [1-0]^2 + [0-0]^2 + [-1-0]^2 + [0-0]^2 + [-1-0]^2 ) )
  = Sqroot ( 1/6 * ( 1+1+0+1+0+1) )
  = Sqroot(2/3) = 0.816

  Â

Hence the Soln = Option (d)

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18. There are 2 groups named Brown and red. They can?t marry in the same group. If the husband or wife dies then the person will convert to their own group. If a person is married then the husband will have to change his group to his wife?s
group. The child will own the mothers group. From these a set of 4 questions were given .Solve them
Eg:
1.Brown?s daughter is red
Ans:(False)
2. If a person is red. Then his/her mother?s brother belong to which group if he is married
Ans:(Brown)

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19. Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank.

(a) 17 1/7 mins
(b) 20 mins
(c) 8 mins
(d) none of these

Ans:
Let Say tank size is 100 galon

Pipe A takes 20 mins to fill 100 galon
So in 1 Min # 100/20= 5 galon

Pipe b takes 30 mins to fill 100 galon

So in 1 Min # 100/30= 3.34 galon

pipe c takec 40 mins to empty the 100 galon

so in 1 Min # 100/40= 2.5 galon

Now if all work together: (5+3.34)-2.5=5.84 galon fill in one minute, so 100 galon fill in 100/5.84= 17.124 minutes.

The Answer is A. 17 1/7 mins.

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20. You are given 8 identical balls .... but one of them is slightly heavier than the rest.... given a old scale (not electronic one) and only two trials to weigh ... can u spot the odd one out????

Ans:
Divide 8 balls in groups of 3-3-2. Say they are named A, B, C.

First trial
-----------
Now compare A and B.
If A == B - the heavy ball is in C. Compare two balls of C.

Second Trial
------------
If A != B - say A is heavier than B. Say balls of group A are named 1, 2, 3. compare 1 and 2.
If 1 == 2, 3 is the heavier ball.
If 1 > 2, 1 is the heavier ball.
If 2 > 1, 2 is the heavier call.

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21. There were 2 doors. one lead to heaven and other to hell there were two doorkeepers one outside each door. one told lie and other spoke truth. what will be one question that czn be asked to both of them so that one comes to know that which door leads to heaven?

Ans:
We should ask one of them

"What should other man tell if i ask which is the door to heaven?"

Go through the door which he hasn't said

Explanation:
Let two door be A and B
Assume A is the door to heven
Case 1:
Question asked to the lier
The other man always tell the truth so he pick A.But the lier will say B
Case 2:
Question asked to the man who tells truth
The lier will pick B.And the true man tell the truth.

So both will pick B.So go through A the other door

"Question not upto the standard put some complicated one"

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22. 37.The letters A, B, C, D, E, F and G, not necessarily
in that order,
stand for seven consecutive integers from 1 to 10
D is 3 less than A
B is the middle term
F is as much less than B as C is greater than D
G is greater than F

1. The fifth integer is
(a) A
(b) C
(c) D
(d) E
(e) F

2. A is as much greater than F as which integer is
less than G
(a) A
(b) B
(c) C
(d) D
(e) E

3. If A = 7, the sum of E and G is
(a) 8
(b) 10
(c) 12
(d) 14
(e) 16

Ans:

the list is: E F D B C A G

so answers are 1- (b)
2- (d)
3- (b)

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23. If a vessel contains 56 lit of a mixture of milk and water in ratio3:2.what amount of the water should be added to make the ratio 4:5 ?

Ans:
3:2 = 56 lt
1 x = 56/(3+2)=>56/5=>11.2
therefore, (11.2x3) + (11.2x2) =>33.6+22.4 => 56
now,
4:5 = 33.6 : ? => ?=(33.6x5)/4
=> ? = 42
Now we want (42-22.4) = 19.6 lt more water to make a ratio of 4:5

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24. In a Bus there are 7 people.Each one carry 7 bags. Each bag contains 7 cat.Each cat carry 7 small cats. How many legs are there in the bus?

Ans:

7 men * 2 = 14 Legs.
7 men * 7 cat = 49 cats
49 cats * 7 small cats = 343 small cats
49 + 343 = 392 cats
392 cats * 4 = 1568 Legs
1568 cat legs + 14 Men Legs = 1582 Legs.

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25. There are 12 balls looks identically equal. But one of them has weight different(more or less) from other. How to find that dissimilar ball with minimum balances?

Ans:
Divide 12 balls as A-4,B-4,C-4
Compare A and B
If equal then Divide C-4 into two parts link C1-2,C2-2
Divide C1-2 into Two Parts and Compare, Now we can find Different One
If not, Divide C2-2 into Two Parts and Compare, Now we can find Different One
If A and B is not equal then
Divide A into two parts and compare or Divide B into Two parts and Compare.
Finally proceed the above step to get the Result.

There are Four Identical comparisons to be taken in this experiment.

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26. There are 7 letters A,B,C,D,E,F,G
All are assigned some numbers from 1,2 to 7.
B is in the middle if arranged as per the numbers.
A is greater than G same as F is less than C.
G comes earlier than E.
1) Which is the fourth letter ? ( B / D / F/ E)
2) what is the difference between A and F? ( 3 /4/ 5/ 6)
3 Choose 4 consecutive letters? ( ABCD / BDFE / AEFB / NONE OF THESE )

Ans:
1 2 3 4 5 6 7
F D C B G E A

B is the middle one means ,B=4.
G comes earlier than E & A>G=F<C means A-G=C-F. so the order can be arranged as shown above.
1.B=4.
2.A-F=7-1=6.
3.None Of These

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27. There are 4 cars . They all are coming from different directions. They have to cross through one square.They all arrive at the same time. Nobody stops . still there is no clash .
note : They all are driving at a speed if 100 km/hr.
options are:
1) all cars take left
2) all cars turn right
3) two cars turn left and two turn right.
tell me the answer with reason.

Ans:
1) All cars Take Left. With No clash.

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28. 361 -> 22
121 -> 14
81 -> 12
25 -> X

What is the value of X?

Ans:
Correct Answer is 8.
Because 19*19=361 and 19+3=22.
11*11=121 and 11+3=14.
9*9=81 and 9+3=12.
5*5=25 and 5+3=8.

29. Hans is standing behind Gerrie and at the same time Gerrie is standing behind Hans. How is this possible

Ans:
they r standing in a circle.. no one in between them...
Or
They are standing back to back in opposite directions

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30. The poor have it, the rich want it, but if you eat it you will die. What is this?

Ans:
the poor have nothing, the rich wants to do nothing, but if u eat nothing, you will die.



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